Question 1: A mapping rule is given by x -> x+5. a) i) Complete the mapping... ii) Draw the axes... iii) Mark the axes... b) Plot the points and draw the line... c) Use the mapping rule to find x when

For $x = -4$, $y = -4 + 5 = 1$.
For $x = -3$, $y = -3 + 5 = 2$.
For $x = -2$, $y = -2 + 5 = 3$.
For $x = -1$, $y = -1 + 5 = 4$.
For $x = 0$, $y = 0 + 5 = 5$.
For $x = 1$, $y = 1 + 5 = 6$.
For $x = 2$, $y = 2 + 5 = 7$.

The completed mapping is:
x: -4, -3, -2, -1, 0, 1, 2
y: 1, 2, 3, 4, 5, 6, 7

a) (ii)
This step requires drawing a graph. As an AI, I cannot physically draw axes. You would draw two perpendicular lines, label the horizontal one OX (x-axis) and the vertical one OY (y-axis), and mark units such that 2 cm represents 1 unit on both axes.

a) (iii)
This step requires marking a graph. As an AI, I cannot physically mark axes. You would mark the x-axis from $-5$ to 4 and the y-axis from 0 to 10 according to the scale from part (ii).

b)
This step requires plotting points and drawing a line on a graph. As an AI, I cannot physically perform this action. You would plot the ordered pairs $(x, y)$ from part (a)(i) on your graph sheet and connect them with a straight line. The points are: $(-4, 1), (-3, 2), (-2, 3), (-1, 4), (0, 5), (1, 6), (2, 7)$.

c)

$$x = 7.5 - 5$$ $$x = \boxed{2.5}$$